论文标题
在半异构混合表面的最小模型上
On the minimal model of semi-isogenous mixed surfaces
论文作者
论文摘要
本文的目的是确定由Cancian和Frapporti构建的半相质混合表面的最小模型。为了做到这一点,我们进一步发展了Frapporti和Lee引入的轨道除差的概念,以在与混合类型的产物相关的表面上构建有效的除数,从而将其扩展到半异构的混合表面。
The aim of this paper is to determine minimal models of the semi-isogenous mixed surfaces with $χ=1$ and $K^2>0$ constructed by Cancian and Frapporti. In order to do this, we further develop the idea of orbit divisors introduced by Frapporti and Lee, to construct effective divisors on surfaces isogenous to a product of mixed type, extending it to the semi-isogenous mixed surfaces.